Research Article
Year 2012,
Volume: 41 Issue: 5, 709 - 713, 01.05.2012
Abstract
References
- Akhmedov, A. Simply Connected Symplectic Calabi-Yau 6-Manifolds, Arxiv preprint arXiv:1107.2623, 2011.
- Fintushel, R. and Stern, R. J. Knots, links, and 4-manifolds, Invent. Math. 134 (2), 363–400, 1998.
- Fintushel, R. and Stern, R. J. Families of simply connected 4-manifolds with the same Seiberg-Witten invariants, Topology 43 (6), 1449–1467, 2004.
- Fintushel, R. and Stern, R. J. Six lectures on four 4-manifolds (Low Dimensional Topology, IAS/Park City Math. Ser. 15, Amer. Math. Soc., Providence, RI, 2009), 265–315.
- Gompf, R. E. A new construction of symplectic manifolds, Ann. of Math. (2) 142 (3), 527– 595, 1995.
- Gompf, R. E. and Stipsicz, A. I. 4-manifolds and Kirby calculus (Graduate Studies in Math- ematics 20, American Mathematical Society, Providence, RI, 1999).
- Halic, M. On the geography of symplectic 6-manifolds, Manuscripta Math. 99 (3), 371–381, 1999.
- Hunt, B. Complex manifold geography in dimension 2 and 3, J. Differential Geom.30 (1), 51–153, 1989.
- LeBrun, C. Topology versus Chern numbers for complex 3-folds, Pacific J. Math. 191 (1), 123–131, 1999.
- Okonek, Ch. and Van de Ven, A. Cubic forms and complex 3-folds, Enseign. Math. (2) 41(3-4), 297–333,1995.
- Weinstein, A. Symplectic manifolds and their Lagrangian submanifolds, Advances in Math. 6, 329–346, 1971.
Year 2012,
Volume: 41 Issue: 5, 709 - 713, 01.05.2012
Abstract
In this note, the geography problem in dimension four is reviewed and then its extension to dimension six for the symplectic case is explained. Finally some examples in dimension six are provided.
Keywords
References
- Akhmedov, A. Simply Connected Symplectic Calabi-Yau 6-Manifolds, Arxiv preprint arXiv:1107.2623, 2011.
- Fintushel, R. and Stern, R. J. Knots, links, and 4-manifolds, Invent. Math. 134 (2), 363–400, 1998.
- Fintushel, R. and Stern, R. J. Families of simply connected 4-manifolds with the same Seiberg-Witten invariants, Topology 43 (6), 1449–1467, 2004.
- Fintushel, R. and Stern, R. J. Six lectures on four 4-manifolds (Low Dimensional Topology, IAS/Park City Math. Ser. 15, Amer. Math. Soc., Providence, RI, 2009), 265–315.
- Gompf, R. E. A new construction of symplectic manifolds, Ann. of Math. (2) 142 (3), 527– 595, 1995.
- Gompf, R. E. and Stipsicz, A. I. 4-manifolds and Kirby calculus (Graduate Studies in Math- ematics 20, American Mathematical Society, Providence, RI, 1999).
- Halic, M. On the geography of symplectic 6-manifolds, Manuscripta Math. 99 (3), 371–381, 1999.
- Hunt, B. Complex manifold geography in dimension 2 and 3, J. Differential Geom.30 (1), 51–153, 1989.
- LeBrun, C. Topology versus Chern numbers for complex 3-folds, Pacific J. Math. 191 (1), 123–131, 1999.
- Okonek, Ch. and Van de Ven, A. Cubic forms and complex 3-folds, Enseign. Math. (2) 41(3-4), 297–333,1995.
- Weinstein, A. Symplectic manifolds and their Lagrangian submanifolds, Advances in Math. 6, 329–346, 1971.
There are 11 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Statistics |
| Journal Section | Mathematics |
| Authors | |
| Publication Date | May 1, 2012 |
| Published in Issue | Year 2012 Volume: 41 Issue: 5 |